Solve 1/2-x/2=-3x-(5-4x)

$$\frac { 1 } { 2 } - \frac { x } { 2 } = - 3 x - ( 5 - 4 x )$$

Solve for x

$$x = \frac{11}{3} = 3\frac{2}{3} \approx 3.666666667$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2.

$$1-x=-6x-2\left(5-4x\right)$$

Use the distributive property to multiply -2 by 5-4x.

$$1-x=-6x-10+8x$$

Combine -6x and 8x to get 2x.

$$1-x=2x-10$$

Subtract 2x from both sides.

$$1-x-2x=-10$$

Subtract 1 from both sides.

$$-x-2x=-10-1$$

Subtract 1 from -10 to get -11.

$$-x-2x=-11$$

Combine -x and -2x to get -3x.

$$-3x=-11$$

Divide both sides by -3.

$$x=\frac{-11}{-3}$$

Fraction \frac{-11}{-3} can be simplified to \frac{11}{3} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{11}{3}$$